Commuting Hamiltonian Flows of Curves in Real Space Forms

DOI10.1017/9781108773287.013zbMath1493.37083arXiv1809.01394OpenAlexW2889712255MaRDI QIDQ5164772

Albert Chern, Felix Knöppel, Ulrich Pinkall, Franz J. Pedit

Publication date: 12 November 2021

Full work available at URL: https://arxiv.org/abs/1809.01394

zbMATH Keywords

isoperimetric problemvortex filamenthierarchy of HamiltoniansDarboux transforms

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)

This page was built for publication: Commuting Hamiltonian Flows of Curves in Real Space Forms